dorsal/arxiv
View SchemaQuantum mechanics of a free particle on a pointed plane revisited
| Authors | K. Kowalski, K. Podlaski, J. Rembielinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206176 |
| URL | https://arxiv.org/abs/quant-ph/0206176 |
| DOI | 10.1103/PhysRevA.66.032118 |
| Journal | Phys. Rev. A, 66 (2002) 032118-1--032118-9 |
Abstract
The detailed study of a quantum free particle on a pointed plane is performed. It is shown that there is no problem with a mysterious ``quantum anticentrifugal force" acting on a free particle on a plane discussed in a very recent paper: M. A. Cirone et al, Phys. Rev. A 65, 022101 (2002), but we deal with a purely topological efect related to distinguishing a point on a plane. The new results are introduced concerning self-adjoint extensions of operators describing the free particle on a pointed plane as well as the role played by discrete symmetries in the analysis of such extensions.
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"abstract": "The detailed study of a quantum free particle on a pointed plane is\nperformed. It is shown that there is no problem with a mysterious ``quantum\nanticentrifugal force\" acting on a free particle on a plane discussed in a very\nrecent paper: M. A. Cirone et al, Phys. Rev. A 65, 022101 (2002), but we deal\nwith a purely topological efect related to distinguishing a point on a plane.\nThe new results are introduced concerning self-adjoint extensions of operators\ndescribing the free particle on a pointed plane as well as the role played by\ndiscrete symmetries in the analysis of such extensions.",
"arxiv_id": "quant-ph/0206176",
"authors": [
"K. Kowalski",
"K. Podlaski",
"J. Rembielinski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.032118",
"journal_ref": "Phys. Rev. A, 66 (2002) 032118-1--032118-9",
"title": "Quantum mechanics of a free particle on a pointed plane revisited",
"url": "https://arxiv.org/abs/quant-ph/0206176"
},
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